A Schinzel theorem on continued fractions in function fields

Weiqun Hu

Acta Arithmetica (2000)

  • Volume: 92, Issue: 4, page 291-302
  • ISSN: 0065-1036

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Weiqun Hu. "A Schinzel theorem on continued fractions in function fields." Acta Arithmetica 92.4 (2000): 291-302. <http://eudml.org/doc/207389>.

@article{WeiqunHu2000,
author = {Weiqun Hu},
journal = {Acta Arithmetica},
keywords = {continued fraction; function field; continued fractions; function fields},
language = {eng},
number = {4},
pages = {291-302},
title = {A Schinzel theorem on continued fractions in function fields},
url = {http://eudml.org/doc/207389},
volume = {92},
year = {2000},
}

TY - JOUR
AU - Weiqun Hu
TI - A Schinzel theorem on continued fractions in function fields
JO - Acta Arithmetica
PY - 2000
VL - 92
IS - 4
SP - 291
EP - 302
LA - eng
KW - continued fraction; function field; continued fractions; function fields
UR - http://eudml.org/doc/207389
ER -

References

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  1. [1] E. Artin, Quadratische Körper im Gebiet der höheren Kongruenzen I, II, Math. Z. 19 (1924), 154-246. Zbl50.0631.03
  2. [2] A. Farhane, Minoration de la période du développement de √(a²n²+bn+c) en fraction continue, Acta Arith. 67 (1994), 63-67. 
  3. [3] C. D. González, Class number of quadratic function fields and continued fractions, J. Number Theory 40 (1992), 38-59. Zbl0747.11054
  4. [4] D. Hayes, Real quadratic function fields, in: CMS Conf. Proc. 7, Amer. Math. Soc., 1987, 203-236. 
  5. [5] L. K. Hua, Introduction to Number Theory, Springer, 1982. 
  6. [6] S. Louboutin, Une version effective d'un théorème de A. Schinzel sur longueurs des périodes de certains développements en fractions continues, C. R. Acad. Sci. Paris Sér. I 308 (1989), 511-513. Zbl0676.10021
  7. [7] B. de Mathan, Approximations diophantiennes dans un corps local, Bull. Soc. Math. France Mém. 21 (1970). Zbl0221.10037
  8. [8] A. Schinzel, On some problems of the arithmetical theory of continued fractions, Acta Arith. 6 (1961), 393-413. Zbl0099.04003

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